LorileeLannom836
LorileeLannom836 LorileeLannom836
  • 24-07-2015
  • Mathematics
contestada

Identify the 12th term of a geometric sequence where a1 = 8 and a6 = -8,192. 134,217,728 33,554,432 -33,554,432 -134,217,728

Respuesta :

naǫ
naǫ naǫ
  • 24-07-2015
[tex]a_1=8 \\ a_6=-8192 \\ \\ a_n=a_1 \times r^{n-1} \\ -8192=8 \times r^{6-1} \\ \frac{-8192}{8}=r^5 \\ -1024=r^5 \\ \sqrt[5]{-1024}=r \\ r=-4 \\ \\ a_{12}=8 \times (-4)^{12-1}=8 \times (-4)^{11}=8 \times (-4194304)=-33554432[/tex]

The 12th term of the sequence is -33,554,432.
Answer Link
quintesu
quintesu quintesu
  • 08-06-2022

Answer:

-33,554,432.

Step-by-step explanation:

I just took the test and it is correct

Answer Link

Otras preguntas

what is .02439 repeating as a fraction
Write your answer as a fraction in simplest form subtract 5/8-3/5
When i add 2 to my number and then multiply it bye 5 i get 30 what is my number
What are three fun facts about plant and animal cells?
what is .8 repeating as a fraction
f(x)= 3x OVER x+1 and g(x) =x^2-1 find formula for f(g(x))
Write your answer as a fraction in simplest form 7/12+8/9
Two integers, A and B, have a product of -35. What is the largest possible sum of A and B? Explain how you found your answer.
Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes per hour, or 35 small cakes per hour. The kitchen is available for 3 hour
Find the coordinates of the midpoint of a segment having the given end pointsC. C(9,5),D(17,4) I can't figure it out.